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Chapter 7: Q. 49 (page 465)

In Problems 45鈥�56, use a calculator to solve each equation on the interval . Round answers to two decimal places.
cos胃=-0.9

Short Answer

Expert verified

The solution of the given equation is2.69,3.59

Step by step solution

01

Step 1. Given Information 

In the given problems we have to use a calculator to solve each equation on the interval and round answers to two decimal places.
cos胃=-0.9

02

Step 2. To solve cosθ=-0.9 on a calculator, first set the mode to radians.

Then use the cos-1key to obtain

胃=cos-1-0.9胃鈮�2.69056

Rounded to two decimal places, 胃=2.69radian.

03

Step 3. Since cosine function is positive in fourth quadrant so we can use the identify cos2π-θ=cosθ

To find the second solution within [0,2蟺)

胃=2蟺-2.69胃=3.59

So the solution set is2.69,3.59.

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